Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Find the sum of first 22 terms of an AP in which d = 7 and 22^

Question

Find the sum of first $22$ terms of an AP in which $d = 7$ and $2 2^{n d}$ term is $149$ .

Views: 748 students

Found 2 tutors discussing this question

Levi Discussed

Find the sum of first

22

terms of an AP in which

d = 7

and

2 2^{n d}

term is

149

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Given

d = 7, a_{22} = 149

We want to find

S_{22} .

a_{n} = a + (n - 1) d

\Rightarrow a_{22} = a + (22 - 1) 7

\Rightarrow 149 = a + (21) (7)

\Rightarrow 149 = a + 147

∴ a = 2

We have

S_{n} = \frac{n}{2} (a + a_{n})

then

S_{22} = \frac{22}{2} (2 + 149)

= 11 \times 151

= 1661

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Find the sum of first $22$ terms of an AP in which $d = 7$ and $2 2^{n d}$ term is $149$ .
Answer Type	Text solution:1
Upvotes	150